819963 has 20 divisors (see below), whose sum is σ = 1254528. Its totient is φ = 533520.

The previous prime is 819943. The next prime is 819977. The reversal of 819963 is 369918.

It is not a de Polignac number, because 819963 - 2⁶ = 819899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (819913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4198 + ... + 4388.

2⁸¹⁹⁹⁶³ is an apocalyptic number.

819963 is the 573-rd heptagonal number.

819963 is a deficient number, since it is larger than the sum of its proper divisors (434565).

819963 is a wasteful number, since it uses less digits than its factorization.

819963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 819963 is about 905.5180837510. The cubic root of 819963 is about 93.5976084202.

The spelling of 819963 in words is "eight hundred nineteen thousand, nine hundred sixty-three".